105747292119 has 32 divisors (see below), whose sum is σ = 168402760704. Its totient is φ = 57711075840.

The previous prime is 105747292111. The next prime is 105747292129. The reversal of 105747292119 is 911292747501.

It is not a de Polignac number, because 105747292119 - 2³ = 105747292111 is a prime.

It is a super-2 number, since 2×105747292119² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105747292111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147759 + ... + 483039.

It is an arithmetic number, because the mean of its divisors is an integer number (5262586272).

Almost surely, 2^105747292119 is an apocalyptic number.

105747292119 is a deficient number, since it is larger than the sum of its proper divisors (62655468585).

105747292119 is a wasteful number, since it uses less digits than its factorization.

105747292119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335967.

The product of its (nonzero) digits is 317520, while the sum is 48.

The spelling of 105747292119 in words is "one hundred five billion, seven hundred forty-seven million, two hundred ninety-two thousand, one hundred nineteen".